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Finding the Third Proportional to 238,862 and 515,020

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Solution

The third proportional to 238,862 and 515,020 is: 1,110,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,862 : 515,020 = 515,020 : x
  2. Step 2: Convert to fraction form
    238,862/515,020 = 515,020/x
  3. Step 3: Cross multiply
    238,862x = 515,020 × 515,020
  4. Step 4: Simplify right side
    238,862x = 265,245,600,400
  5. Step 5: Solve for x
    x = 265,245,600,400/238,862
  6. Step 6: Final answer
    x = 1,110,455.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.